-6(-1+3r)=-2(r-3)

Solution for -6(-1+3r)=-2(r-3) equation:

Simplifying
-6(-1 + 3r) = -2(r + -3)
(-1 * -6 + 3r * -6) = -2(r + -3)
(6 + -18r) = -2(r + -3)

Reorder the terms:
6 + -18r = -2(-3 + r)
6 + -18r = (-3 * -2 + r * -2)
6 + -18r = (6 + -2r)

Add '-6' to each side of the equation.
6 + -6 + -18r = 6 + -6 + -2r

Combine like terms: 6 + -6 = 0
0 + -18r = 6 + -6 + -2r
-18r = 6 + -6 + -2r

Combine like terms: 6 + -6 = 0
-18r = 0 + -2r
-18r = -2r

Solving
-18r = -2r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '2r' to each side of the equation.
-18r + 2r = -2r + 2r

Combine like terms: -18r + 2r = -16r
-16r = -2r + 2r

Combine like terms: -2r + 2r = 0
-16r = 0

Divide each side by '-16'.
r = 0

Simplifying
r = 0